III. SHOW ALL NECESSARY SOLUTIONS NEATLY AND ORDERLY 1. Given the nth term of the geometric sequence: a, = (-4)(-5" a. Generate the first four terms b. Find the sum of the series if it exists as n goes to infinity. 2. Find the fifth term of the geometric sequence if its 3 term is -486 and its 8 term is 2.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 4SE: What happens to the terms an of a sequence when there is a negative factor in the formula that is...
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III. SHOW ALL NECESSARY SOLUTIONS NEATLY AND ORDERLY
1. Given the nth term of the geometric sequence: a, = (-4)(-5"
a. Generate the first four terms
b. Find the sum of the series if it exists as n goes to infinity.
2. Find the fifth term of the geometric sequence if its 3d term is -486 and its 8 term is 2.
3. Insert three geometric means between 8 and 5000.
4. If a ball is tossed with a height of 20 ft, bounces back to a height of 10 ft. and continues to
rebound half of the previous height, what is the total distance traveled by the ball
a. in its 5th bounce?
b. as it comes to rest?
Transcribed Image Text:III. SHOW ALL NECESSARY SOLUTIONS NEATLY AND ORDERLY 1. Given the nth term of the geometric sequence: a, = (-4)(-5" a. Generate the first four terms b. Find the sum of the series if it exists as n goes to infinity. 2. Find the fifth term of the geometric sequence if its 3d term is -486 and its 8 term is 2. 3. Insert three geometric means between 8 and 5000. 4. If a ball is tossed with a height of 20 ft, bounces back to a height of 10 ft. and continues to rebound half of the previous height, what is the total distance traveled by the ball a. in its 5th bounce? b. as it comes to rest?
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